Article ID Journal Published Year Pages File Type
1139570 Mathematics and Computers in Simulation 2014 16 Pages PDF
Abstract

A numerical technique for the solution of the compressible flow equations over unstructured grids in a spherical reference is presented. The proposed approach is based on a mixed finite volume/finite element discretization in space. Equivalence conditions relating the finite volume and the finite element metrics in spherical coordinates are derived. Numerical simulations of the explosion and implosion problems for inviscid compressible flows are carried out to evaluate the correctness of the numerical scheme and compare fairly well to one-dimensional simulations over very fine grids.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
Authors
, , ,